The sum of the two numbers is equal to 70.
- Let the first number be x.
- Let the second number be y.
In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
....equation 1.
The product of the two numbers is 713:
....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
Solving the quadratic equation by factorization, we have:
y = -23 or 31.
For the value of x, when y = 31:
x = 39
Now, we can calculate the sum of the two numbers:
Read more on word problems here: brainly.com/question/13170908
It is important to note that the direct of flow of the electricity current in the Linear Machine is anti-clockwise direction. The resultant effect of this is such that is stand at variance with the change in flux as force is going the right direction. See attached Image (Illustration I).
<h3>What is the magnitude of the current?</h3>
Recall that Force (f) = il xB
Given that Force (F) = 10N; and
Magnetic Field Density B = 0.5T
Hence,
10 = i x 0.2 x 0.5
[Note that Width is converted to Meters from millimeters that is 200 mmm = 0.2m]
10 = 0.1i
i = 10/0.1
i = 100A
<h3>
What is the Induced Voltage Across the metal bar?</h3>
Note that Vg = Vde + IR
Vg = 10 + 100 x 0.05
Vg = 10 + 5
Vg = 15v
<h3>
What is the final speed of the metal bar?</h3>
The final speed of the bar is given as V
Recall that Induced Voltage is VB x L
That is:
15 = V x 0.5 x 0.2;
15 = 0.1 V
make V the subject of the formula:
V = 15/0.1
V = 150m/s
<h3>
What is the status of the Machine? a motor or generator?</h3>
Given that the current being supplied is in DC hence the machine is a generator. [Vdc x i]
<h3>What is the electric power of the source?</h3>
The electric power of the source is:
Vdc x i
= 10 x 100
= 1,000 watts
Learn more about electric current:
brainly.com/question/1100341
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Answer:
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Explanation:
Area of the semicircle = 1/2(3.14)(6)² = 56.52 ft²
Area of the rectangle = 40 x 12 = 480 ft²
Area of the triangle = 1/2 x 12 x 5 = 30 ft²
Total Area = 56.52 + 480 + 30 = 566.52 ft²
Answer: 566.52 ft²
